Please solve and show all work using Linear Algebra. Determine whether the statement below is true or false. Justify the answer.Any list of five real numbers is a vector in R5.Choose the correct answer below.O A. The statement is false. A list of five real numbers is a vector in ROB. The statement is false. A list of five real numbers is a vector in R.OC. The statement is true. R5 denotes the collection of all lists of five real numbers.O D. The statement is false. A list of numbers is not enough to constitute a vector.

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Answered: Determine whether the statement below…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please solve and show all work using Linear Algebra.

Determine whether the statement below is true or false. Justify the answer.
Any list of five real numbers is a vector in R5.
Choose the correct answer below.
O A. The statement is false. A list of five real numbers is a vector in R
OB. The statement is false. A list of five real numbers is a vector in R.
OC. The statement is true. R5 denotes the collection of all lists of five real numbers.
O D. The statement is false. A list of numbers is not enough to constitute a vector.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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